Results 51 to 60 of about 323,104 (323)

Entire solutions of two certain Fermat-type ordinary differential equations

Open Mathematics, 2023
In this article, we investigate the precise expression forms of entire solutions for two certain Fermat-type ordinary differential equations: (a0f+a1f′)2+(a0f+a2f′)2=p{\left({a}_{0}f+{a}_{1}{f}^{^{\prime} })}^{2}+{\left({a}_{0}f+{a}_{2}{f}^{^{\prime} })}^
Hu Binbin, Yang Liu
doaj   +1 more source

An Explanation of Mellin’s 1921 Paper

Известия Иркутского государственного университета: Серия "Математика", 2023
In 1921 Mellin published a Comptes Rendu paper computing the principal solution of a polynomial using generalized hypergeometric functions of its coefficients. He used an integral transform nowadays bearing his name.
W. M. Lawton
doaj   +1 more source

Design and validation of a novel dosimetry phantom for motion management audits

Journal of Applied Clinical Medical Physics, EarlyView.
Abstract Background We present a novel phantom design for conducting end‐to‐end dosimetry audits for respiratory motion management of two anatomical treatment sites. The design enables radiochromic film measurements of the dose administered to the target throughout the respiratory cycle (motion‐included) and the dose delivered to the time‐averaged ...
Alex Burton, Sabeena Beveridge, Nicholas Hardcastle, Silvio Malfitana, Janaka Madamperuma, Rick Franich   +5 more
wiley   +1 more source

A Python package for fast GPU‐based proton pencil beam dose calculation

Journal of Applied Clinical Medical Physics, EarlyView.
Abstract Purpose Open‐source GPU‐based Monte Carlo (MC) proton dose calculation algorithms provide high speed and unparalleled accuracy but can be complex to integrate with new applications and remain slower than GPU‐based pencil beam (PB) methods, which sacrifice some physical accuracy for sub‐second plan calculation.
Mahasweta Bhattacharya, Calin Reamy, Heng Li, Junghoon Lee, William T. Hrinivich   +4 more
wiley   +1 more source

A remark on the approximation of non-negative polynomials by SONC polynomials [PDF]

arXiv, 2021
A SONC polynomial is a sum of finitely many non-negative circuit polynomials, whereas a non-negative circuit polynomial is a non-negative polynomial whose support is a simplicial circuit. We show that there exist non-negative polynomials that cannot be uniformly approximated by SONC polynomials arbitrarily well.
arxiv  

New Polynomial Bounds for Jordan’s and Kober’s Inequalities Based on the Interpolation and Approximation Method

Mathematics, 2019
In this paper, new refinements and improvements of Jordan’s and Kober’s inequalities are presented. We give new polynomial bounds for the s i n c ( x ) and cos ( x ) functions based on the interpolation and approximation ...
Lina Zhang, Xuesi Ma
doaj   +1 more source

Some identities for the generalized Fibonacci polynomials by the Q(x) matrix [PDF]

arXiv, 2020
In this note, we obtain some identities for the generalized Fibonacci polynomial by using the Q(x) matrix. These identities including the Cassini identity and Honsberger formula can be applied to some polynomial sequences, such as Fibonacci polynomials, Lucas polynomials, Pell polynomials, Pell-Lucas polynomials, Fermat polynomials, Fermat-Lucas ...
arxiv  

Association of Changes in Hand Pain With BMI, Employment, and Mental Well‐Being Over Four Years in Patients With Hand Osteoarthritis

Arthritis Care &Research, EarlyView.
Objective We aimed to characterize patients with hand osteoarthritis (OA) with deteriorating or improving hand pain and to investigate patients achieving good clinical outcome after four years. Methods We used four‐year annual Australian/Canadian Hand Osteoarthritis Index (AUSCAN) pain subscale (range 0–20) measurements from the Hand OSTeoArthritis in ...
Coen van der Meulen, Lotte A. van de Stadt, Saskia J. Buck, Frits R. Rosendaal, Sietse E. S. Terpstra, Margreet Kloppenburg   +5 more
wiley   +1 more source

On bicomplex polynomials

AIP Conference Proceedings, 2018
In this study, we examine polynomials with bicomplex coefficient and bicomplex variables. We investigate the roots of bicomplex polynomials by idempotent bases of bicomplex numbers and classified these roots. © 2018 Author(s).
Halici, Serpil, Aslan, S.
openaire   +6 more sources

Performance Comparison of Classical Methods and Neural Networks for Colour Correction

Journal of Imaging, 2023
Colour correction is the process of converting RAW RGB pixel values of digital cameras to a standard colour space such as CIE XYZ. A range of regression methods including linear, polynomial and root-polynomial least-squares have been deployed.
Abdullah Kucuk, Graham D. Finlayson, Rafal Mantiuk, Maliha Ashraf   +3 more
doaj   +1 more source